Difference between revisions of "2024 AMC 10 Problems/Problem 15"
m (added deletion request) |
|||
Line 1: | Line 1: | ||
+ | {{delete|false problem, page does not say whether 10A or 10B}} | ||
==Problem== | ==Problem== | ||
Latest revision as of 19:29, 14 November 2024
This article has been proposed for deletion. The reason given is: false problem, page does not say whether 10A or 10B.
Sysops: Before deleting this article, please check the article discussion pages and history. |
Problem
Let , , and be positive integers such that . What is the least possible value of such that , , and form a non-degenerate triangle?
Solution
We know that represents a Pythagorean triple. The smallest Pythagorean triple is .
To check if this forms a non-degenerate triangle, we verify the triangle inequality:
All inequalities hold, so is a valid solution.
Therefore, the least possible value of is .